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\begin{titlingpage}
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    \textsf{\Huge{University of Oxford}}\\
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    \includegraphics[scale=.8]{Stats_Logo.png}\\
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    \Huge{\thetitle}\\
    \vspace{2cm}
    \large{by\\[14pt]\theauthor\\[8pt]St Catherine's College}\\
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    \large{A dissertation submitted in partial fulfilment of the degree of Master of Science in Applied Statistics}\\
    \vspace{.5cm}
    \large{\emph{Department of Statistics, 24--29 St Giles,\\Oxford, OX1 3LB}}\\
    \vspace{1cm}
    \large{\thedate}
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\end{titlingpage}

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\frontmatter

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\chapter*{Declaration of authorship}

\emph{This my own work (except where otherwise indicated).}\\[2cm]

\begin{center}
  Date \hspace{.5\linewidth} Signature
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\begin{abstract}
  Abstract here
\end{abstract}

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\chapter*{Acknowledgements}%
\label{cha:acknowledgements}

Thank you!

\cleardoublepage%

\tableofcontents*
\listoffigures*
\listoftables*

\clearpage

\mainmatter%

\chapter{Introduction}%
\label{cha:introduction}



\chapter{Topological Data Analysis and Persistent Homology}%
\label{cha:tda-ph}

\section{Simplicial Complexes}%
\label{sec:simplicial-complexes}

\section{Homology}%
\label{sec:homology}

\section{Filtrations}%
\label{sec:filtrations}

\section{Topological summaries: barcodes and persistence diagrams}%
\label{sec:topol-summ}

\section{Stability}%
\label{sec:stability}



\chapter{Temporal Networks}%
\label{cha:temporal-networks}




\backmatter%

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\label{cha:bibliography}

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